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Full-Text Articles in Physical Sciences and Mathematics

Numerical Experiments For Finding Roots Of The Polynomials In Chebyshev Basis, M. S. Solary Dec 2017

Numerical Experiments For Finding Roots Of The Polynomials In Chebyshev Basis, M. S. Solary

Applications and Applied Mathematics: An International Journal (AAM)

Root finding for a function or a polynomial that is smooth on the interval [a; b], but otherwise arbitrary, is done by the following procedure. First, approximate it by a Chebyshev polynomial series. Second, find the zeros of the truncated Chebyshev series. Finding roots of the Chebyshev polynomial is done by eigenvalues of a nXn matrix such as companion or comrade matrices. There are some methods for finding eigenvalues of these matrices such as companion matrix and chasing procedures.We derive another algorithm by second kind of Chebyshev polynomials.We computed the numerical results of these methods for some special and ill-conditioned …


Some Pre-Filters In Eq-Algebras, M. Behzadi, L. Torkzadeh Dec 2017

Some Pre-Filters In Eq-Algebras, M. Behzadi, L. Torkzadeh

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, the notion of an obstinate prefilter (filter) in an EQ-algebra ξ is introduced and a characterization of it is obtained by some theorems. Then the notion of maximal prefilter is defined and is characterized under some conditions. Finally, the relations among obstinate, prime, maximal, implicative and positive implicative prefilters are studied.


Effective Modified Hybrid Conjugate Gradient Method For Large-Scale Symmetric Nonlinear Equations, Jamilu Sabi'u, Mohammed Y. Waziri Dec 2017

Effective Modified Hybrid Conjugate Gradient Method For Large-Scale Symmetric Nonlinear Equations, Jamilu Sabi'u, Mohammed Y. Waziri

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we proposed hybrid conjugate gradient method using the convex combination of FR and PRP conjugate gradient methods for solving Large-scale symmetric nonlinear equations via Andrei approach with nonmonotone line search. Logical formula for obtaining the convex parameter using Newton and our proposed directions was also proposed. Under appropriate conditions global convergence was established. Reported numerical results show that the proposed method is very promising.


Some Relations On Generalized Rice's Matrix Polynomials, Ayman Shehata Jun 2017

Some Relations On Generalized Rice's Matrix Polynomials, Ayman Shehata

Applications and Applied Mathematics: An International Journal (AAM)

The main aim of this paper is to obtain certain properties of generalized Rice’s matrix polynomials such as their matrix differential equation, generating matrix functions, an expansion for them. We have also deduced the various families of bilinear and bilateral generating matrix functions for them with the help of the generating matrix functions developed in the paper and some of their applications have also been presented here.


Some Properties Of Certain Mixed Type Special Matrix Functions And Polynomials, Ahmed A. Al-Gonah, Fatima M. Al-Samadi Jun 2017

Some Properties Of Certain Mixed Type Special Matrix Functions And Polynomials, Ahmed A. Al-Gonah, Fatima M. Al-Samadi

Applications and Applied Mathematics: An International Journal (AAM)

By using certain operational methods, the authors introduce some new mixed type special matrix functions and polynomials. Some properties of these matrix functions and polynomials are established.


On (Semi)Topological Bcc-Algebras, F. R. Setudeh, N. Kouhestani Jun 2017

On (Semi)Topological Bcc-Algebras, F. R. Setudeh, N. Kouhestani

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we introduce the notion of (semi)topological BCC-algebras and derive here conditions that imply a BCC-algebra to be a (semi)topological BCC-algebra. We prove that for each cardinal number α there is at least a (semi)topological BCC-algebra of order α: Also we study separation axioms on (semi)topological BCC-algebras and show that for any infinite cardinal number α there is a Hausdorff (semi)topological BCC-algebra of order α with nontrivial topology.


On Circulant-Like Rhotrices Over Finite Fields, P. L. Sharma, Shalini Gupta, Mansi Rehan Jun 2017

On Circulant-Like Rhotrices Over Finite Fields, P. L. Sharma, Shalini Gupta, Mansi Rehan

Applications and Applied Mathematics: An International Journal (AAM)

Circulant matrices over finite fields are widely used in cryptographic hash functions, Lattice based cryptographic functions and Advanced Encryption Standard (AES). Maximum distance separable codes over finite field GF2 have vital a role for error control in both digital communication and storage systems whereas maximum distance separable matrices over finite field GF2 are used in block ciphers due to their properties of diffusion. Rhotrices are represented in the form of coupled matrices. In the present paper, we discuss the circulant- like rhotrices and then construct the maximum distance separable rhotrices over finite fields.


Representation And Decomposition Of An Intuitionistic Fuzzy Matrix Using Some (Α, Α') Cuts, T. Muthuraji, S. Sriram Jun 2017

Representation And Decomposition Of An Intuitionistic Fuzzy Matrix Using Some (Α, Α') Cuts, T. Muthuraji, S. Sriram

Applications and Applied Mathematics: An International Journal (AAM)

The aim of this paper is to study the properties of various (α, α') cuts on Intuitionistic Fuzzy Matrices. Here we introduce different kinds of cuts on Intuitionistic Fuzzy Sets. We discuss some properties of the cuts with some other existing operators on Intuitionistic Fuzzy Matrix. Finally some representation and decomposition of an Intuitionistic Fuzzy Matrix using (α, α') cuts are given.